No uniform realisation is possible.

Incidence matrix according to Dynkin symbol

o3β3x5x

both( . . . . ) | 7200 |    1    1    2    2 |   1    1    2    2    2    2 |   1    1   2   2
----------------+------+---------------------+------------------------------+-----------------
both( . . x . ) |    2 | 3600    *    *    * |   1    0    2    0    0    0 |   1    0   2   0
both( . . . x ) |    2 |    * 3600    *    * |   1    0    0    0    2    2 |   2    1   2   0
sefa( o3β . . ) |    2 |    *    * 7200    * |   0    1    0    1    1    0 |   1    1   0   1
sefa( . β3x . ) |    2 |    *    *    * 7200 |   0    0    1    1    0    1 |   0    0   1   2
----------------+------+---------------------+------------------------------+-----------------
both( . . x5x ) |   10 |    5    5    0    0 | 720    *    *    *    *    * |   0    0   2   0
      o3β . .   ♦    3 |    0    0    3    0 |   * 2400    *    *    *    * |   1    1   0   0
      . β3x .   ♦    6 |    3    0    0    3 |   *    * 2400    *    *    * |   1    0   1   0
sefa( o3β3x . ) |    4 |    0    0    2    2 |   *    *    * 3600    *    * |   1    0   0   1
sefa( o3β 2 x ) |    4 |    0    2    2    0 |   *    *    *    * 3600    * |   0    1   0   1
sefa( . β3x5x ) |   10 |    0    5    0    5 |   *    *    *    *    * 1440 |   0    0   1   1
----------------+------+---------------------+------------------------------+-----------------
      o3β3x .   ♦   12 |    6   12   12    0 |   0    4    4    6    0    0 | 600    *   *   *
      o3β 2 x   ♦    6 |    0    3    6    0 |   0    2    0    0    3    0 |   * 1200   *   *
      . β3x5x   ♦  120 |   60   60    0   60 |  12    0   20    0    0   12 |   *    * 120   *
sefa( o3β3x5x ) ♦   20 |    0    0   10   20 |   0    0    0    5    5    2 |   *    *   * 720

starting figure: o3x3x5x